Question Number 67013 by mathmax by abdo last updated on 21/Aug/19 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\left({n}+\mathrm{1}\right){n}^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 132496 by mathmax by abdo last updated on 14/Feb/21 $$\mathrm{calculateA}_{\mathrm{n}} =\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }\mathrm{cos}\left(\mathrm{n}\right)\:\mathrm{andB}_{\mathrm{n}} =\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }\mathrm{cos}\left(\frac{\mathrm{n}\pi}{\mathrm{3}}\right) \\ $$ Answered…
Question Number 66937 by Cmr 237 last updated on 20/Aug/19 Answered by mr W last updated on 21/Aug/19 $${let}\:{t}=\mathrm{81}^{\mathrm{sin}^{\mathrm{2}} \:{x}} \\ $$$$\mathrm{81}^{\mathrm{cos}^{\mathrm{2}} \:{x}} =\mathrm{81}^{\mathrm{1}−\mathrm{sin}^{\mathrm{2}} \:{x}}…
Question Number 132422 by john_santu last updated on 14/Feb/21 $$\mathrm{Given}\:\mathrm{P}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{polynomial}. \\ $$$$\:\mathrm{If}\:\mathrm{P}\left(\mathrm{x}+\mathrm{1}\right)\:+\:\frac{\mathrm{P}\left(\mathrm{x}\right)}{\mathrm{x}}\:=\:\left(\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} −\mathrm{2} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{P}\left(\mathrm{x}\right)}{\mathrm{x}} \\ $$ Answered by bemath last updated on 14/Feb/21 Terms…
Question Number 1295 by prakash jain last updated on 20/Jul/15 $$\mathrm{Solve}\:\mathrm{for}\:{f}\left({x}\right) \\ $$$${f}\left({x}+\mathrm{1}\right)=\left[{f}\left({x}\right)\right]^{\mathrm{3}} \\ $$ Commented by Rasheed Ahmad last updated on 20/Jul/15 $$\left({Rasheed}\:{Soomro}\right) \\…
Question Number 66800 by mathmax by abdo last updated on 19/Aug/19 $${calculate}\:{U}_{{n}} =\int_{\frac{\mathrm{1}}{{n}}} ^{{n}} \:\:\:\frac{{arctan}\left({x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$$${and}\:{determine}\:{lim}_{{n}\rightarrow+\infty} {U}_{{n}} \\ $$$$\left.\mathrm{2}\right){find}\:{nature}\:{of}\:\Sigma\:{U}_{{n}} \\ $$ Commented by…
Question Number 66798 by mathmax by abdo last updated on 19/Aug/19 $${find}\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{k}^{\mathrm{2}} \:\left({C}_{{n}} ^{{k}} \right)^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy…
Question Number 66799 by mathmax by abdo last updated on 19/Aug/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{{k}}}\:\:{find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 66797 by mathmax by abdo last updated on 19/Aug/19 $${find}\:{S}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\left({C}_{{n}} ^{{k}} \right)^{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 66796 by mathmax by abdo last updated on 19/Aug/19 $${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated…